Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 87

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DF CISSOFDC.
  2. in ratione radiorum C L., hoc est a: erune omnia MOMCHEA Su-
  3. perticierum illarum semicylindricarum, series a
  4. a
  5. D.
  6. vet
  7. Cujus seriei rario ad seriem aequalium, sc colligieur:
  8. Ceries va inverse ductain
  9. series 1. a.
  10. ae
  11. FatIONCS Z 2X2 2Z2X4
  12. 2X2XAX6
  13. at. eec. dabie
  14. 2X2X 4X6Z8
  15. 9. OZLY GXILKTZ OXLIXLZXLG OHIIXI3XI 5X17 aC.
  16. Adeoque cum series N’a in leriem v’a inverse ducta (uE ex
  17. inquilitione primum facta colligIEuF) SIE UE -= X 3X5, 7
  18. 2D
  19. 6
  20. 8
  21. TC
  22. ad T. noc estuc 7 2d64∞; suxplebimus incerjecta loca ad hanc
  23. Foimam. empe series rainverse ducta In
  24. series , -. 1. Va. a. N a. a. V a. _c. dabie ratio
  25. ne
  26. Y
  27. 272
  28. 7
  29. 2
  30. 2X2XA
  31. 7
  32. 10- 6409 64+ 9XII 64∞ 12, 9XIIX1364D 12 14 8c,
  33. Momencum igicur superficierum omnium ex rectarum L L
  34. circa C a Peniconrertione Factarum, in Tuo scuS hoc elt, solidi ex
  35. Temiconvertione spatii Cipsoidalis circa C a momentum in suo
  36. situ, respectu Ca rectaes elt, ad toridem A qualia, nempe momenca
  37. cocidem superficierum, rectis C F aequalibus in distantiis C F.
  38. seriiconversis Factarum, in distantia mavima suspensarum, ue
  39. 20 640
  40. ad 2, Sive uc 35 2d321. Est aucem magnicudo ad
  41. magnicudinem, ux 5 ad 4 ∞ (momentis urique planorum Dro-
  42. porcionales:) Ergo distancia ad distantia ut 7 ad 8. Nempe Z ictius
  43. diltancix quam habet cenerum graviearis senicirculi radio CF
  44. delcripei ab ipso C: quae quidem non est FOLA C F recta, sed (PrO-
  45. Pcer curracuram semicircularem) illa ejus pars quae est ad coram
  46. uE Diamerer ad Semiperipheriam.
  47. Similicer, facta convertione circa F A, Pemicylindricae su-
  48. perticies rectis L. Z delCrIPEX LuInE uE Va in N: D = a: (quippe
  49. momentis rectarum proportionales;) diltantia vero centrorum
  50. superficierum illarum lune uE radii convertonis, sive di-
  51. Ctanciae D= a; Ergo superticierum illarum mOmeDEa, SUNE
  52. ACY a, I D una, in V:D a. sve uCD N a n V a in ViOa

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 87. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0103?run=74